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Finding the Fourth Proportional to 295.80, 410.28 and 285.42

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Solution

The fourth proportional to 295.80, 410.28 and 285.42 is: 395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.80 : 410.28 = 285.42 : x
  2. Step 2: Convert to fraction form
    295.80/410.28 = 285.42/x
  3. Step 3: Cross multiply
    295.80x = 410.28 × 285.42
  4. Step 4: Simplify right side
    295.80x = 117,102.12
  5. Step 5: Solve for x
    x = 117,102.12/295.80
  6. Step 6: Final answer
    x = 395.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.